Two teenage girls arrested late Monday night for allegedly attacking people with a knife on and around the SkyTrain transit line are well known to authorities, Transit police in Metro Vancouver say.

Since January 2012, police have come in contact with the pair, aged 14 and 15, 142 times, Const. Anne Drennan said Tuesday. Many of the run-ins have been with transit police.

"They have been a problem for quite some time. They have been arrested numerous times and are released on conditions, very often breaching those conditions and re-arrested. It's kind of a revolving door scenario," Drennan said.

"They are a serious, ongoing problem."

Paramedics and police responded to the Joyce SkyTrain Station, where two girls allegedly attacked a man Monday night. (CBC)

The latest incident began Monday night at about 11:30 p.m. PT across the street from the Gateway SkyTrain station in Surrey when two girls appeared to be looking for a fight.

One of the girls allegedly slashed a woman on the arm with a knife. They then boarded the SkyTrain and allegedly confronted another woman and slashed one of the seats.

The terrified woman then got off the train at New Westminster's Columbia Station where she was allegedly chased by the girls and punched in the face.

Then at Joyce Station the suspects allegedly attacked a man, who used a pizza box to defend himself.

The suspects fled the area, but were arrested shortly afterwards by transit police.

Drennan said at least two people were stabbed with a 20-centimetre steak knife during the attacks, but no one received serious injuries.

"The woman who was slashed on the arm received a cut several inches long, which required stitches," Drennan said. "The man who was holding the pizza box — the box was stabbed but fortunately he wasn't, although he did receive a small cut to his finger. And the woman who was punched received cuts and scrapes to her face."